Lattice Induced Resonances in One Dimensional Bosonic Systems

Details Lattice Induced Resonances in One Dimensional Bosonic Systems Lattice Induced Resonances in One Dimensional Bosonic Systems

2011-02-22

arxiv.org/abs/1102.4593v2

Phys. Rev. Lett. 106, 235301 (2011) [http://link.aps.org/doi/10.1103/PhysRevLett.106.235301]

Physics

Condensed Matter

Quantum Gases

4 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevLett.106.235301

We study the resonant effects produced when a Feshbach dimer crosses a scattering continuum band of atoms in an optical lattice. We numerically obtain the exact spectrum of two particles in a one-dimensional lattice and develop an effective atom-dimer Hamiltonian that accurately captures resonant effects. The lattice-induced resonances lead to the formation of bound states simultaneously above and below the scattering continuum and significantly modify the curvature of the dimer dispersion relation. The nature of the atom-dimer coupling depends strongly on the parity of the dimer state leading to a novel coupling in the case of negative parity dimers. From the exact solutions we extract the dimer Wannier function from which we quantitatively determine the effective Hamiltonian parameters for a many-body description.

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